MATHEMATICS

Solving of quasilinear boundary value problems for functional differential equations

A. S. Larionov

Bratsk State University

Abstract: Sufficient conditions of resolvability of nonlinear boundary value problems for some classes of functional differential equations are presented. These conditions have been obtained on the basis of reduction of original problem to the equation with a monotone operator.

Keywords: differential equation, boundary value problem, monotone operator, solving, Green function.

UDC: 517.929

MSC: 34K10, 34K12, 34K40

Received: 15.04.2009

DOI: 10.20537/vm100106